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Unformatted text preview: MAC1114 - Homework 1 Due Thursday, January 13 1. Finish the statement: If angles α and β are coterminal, then α = β + (be thorough!). Are the angles α =- 16 π 5 and β = 28 π 10 coterminal? Show why or why not. If angles α and β are coterminal, then α = β + 2 πn , where n is an integer. To see if α =- 16 π 5 and β = 28 π 10 are coterminal, we plug them in and solve for n . If n is an integer, then they are coterminal. If n is not an integer, then they are not coterminal. We get:- 16 π 5 = 28 π 10 + 2 πn- 16 π 5- 14 π 5 = 2 πn- 30 π 5 = 2 πn- 3 = n So the angles are coterminal. 2. (cf. Sec. 4.1 #114) A motorized pulley with a radius of 1 inch runs at 1600 revolutions per minute. The pulley is connected to a pulley on a saw arbor with a radius of 4 inches. Find the linear speed of the saw blade in inches per minute. The solution here is much easier than it looks. Note that we are asked for a linear speed ( v ), and we are given a radius ( r ) and an angular speed (...
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